where the pattern functions \(F_+\)  and \(F_-\)  depend on the orientation of the detector and the direction of the GW source [1]}, [2]}, [3]}. We choose \(\langle F_+^2\rangle =\langle F_\times ^2\rangle =1/5\) , \(\langle F_+F_\times \rangle =0\) , \(\langle \left|{}_s S_{\widetilde{l}\widetilde{m}}\right|^2\rangle =1/(4\pi )\) . By assuming \(N_{111}\ll N_{011}\)  and a single \(90^{\circ }\) -interferometer, the characteristic strain amplitude is approximately [4]},
\(\begin{split}h_{c}=& \dfrac{\sqrt{N_{\text{cycles }}}}{\sqrt{10\pi }\,r}\bigg \lbrace \dfrac{N_{011}^{2}}{{\omega ^{(011)}}^2} \frac{\left|U_{l 2}^{(\widetilde{\omega }_1)}\right|^{2}}{\widetilde{\omega }_{1}^4}\\&\hspace{0.0pt}+4 \sqrt{\dfrac{N_{011}^3N_{111}}{{\omega ^{(011)}}^3\omega ^{(111)}}}\frac{\left|U_{\widetilde{l}2}^{(\widetilde{\omega }_1)}\right| \left|U_{\widetilde{l}2}^{(\widetilde{\omega }_3)}\right|}{\widetilde{\omega }_{1}^2 \widetilde{\omega }_{3}^2}\\&\hspace{28.45274pt}\times \cos \left[\widetilde{\omega }_4\left(t-r_*\right)-\phi _{\widetilde{l}2}^{(\widetilde{\omega }_3)}+\phi _{\widetilde{l}2}^{(\widetilde{\omega }_1)}\right] \bigg \rbrace ^{1/2},\end{split}\) 
